Bound States Due to Resonance Scattering in Superconductor

Abstract
It is shown exactly that the bound state in the energy gap of superconductors is produced by the resonance scattering due to a single non-magnetic impurity. In an appropriate renormalization procedure, we can show the growth of an impurity band in the case of impurities of finite concentration and a possibility for gapless superconductivity is indicated.

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